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Finding the Fourth Proportional to 1,644.97, 2,462.65 and 863.11

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Solution

The fourth proportional to 1,644.97, 2,462.65 and 863.11 is: 1,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.97 : 2,462.65 = 863.11 : x
  2. Step 2: Convert to fraction form
    1,644.97/2,462.65 = 863.11/x
  3. Step 3: Cross multiply
    1,644.97x = 2,462.65 × 863.11
  4. Step 4: Simplify right side
    1,644.97x = 2,125,537.84
  5. Step 5: Solve for x
    x = 2,125,537.84/1,644.97
  6. Step 6: Final answer
    x = 1,292.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.